147 grain BTMJ (boat tail full metal jacket) -56.1 foot drop at 500 yards. Source: Guns and Ammo online.
150 grain 2900 fps muz vel -37 ffoot drop at 500 yards. Source: Guns and Ammo online.
So maybe if you load your own and match the bullet its possible.
My ballistic tables would give the same 150gr .308 @ 2900 fps a drop of about 45 inches (depends upon the BC) at 500 yards with a 200 yrd zero (common for hunting).
I shoot a 150 gr .308 Ballistic Tip @3000 fps with a 200 yrd zero. Drop @500 yrd would be 39.8 inches. BC is .435
I'm pretty sure those should be inches, not feet.
"147 grain BTMJ (boat tail full metal jacket) -56.1 foot drop at 500 yards. Source: Guns and Ammo online.
150 grain 2900 fps muz vel -37 ffoot drop at 500 yards"
It doesn't make sense that the heavier load drops less- also, if it drops 56 ft good luck with open sights - but I was never good at physics